Question 169669: I am a math tutor on this site, can someone please help with a method of systems of equations?
I need to know the name of this method of solving
Ex.
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First solve for a variable, we will solve for "x" in each equation
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First equation,
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, move "4y" to the right side
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=  =  or 
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 is our first answer, keeping that answer in mind we solve for "x" in the other equation
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Second equation,
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, move (-y) to the right side
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=  =  or  , now divide each side by "2"
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=  = 
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Second answer is  , then I would say, since these two answers equal "x" both answers will equal each other, then I would put them in an equation
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 , then I would solve for "y"
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 , then I would show the student the cross multiplication
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We come up with  , then just solve, in which we would get 
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Then I would replace "y", and go through the math, and find that 
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What would you call this method ( when you solve for a variable in both equations, and put your answers together in an equation and solve )
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Solution set = (20,0)
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Please don't answer if you don't know the name of this method
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Thanks ahead of time, Electrified_Levi
Answer by stanbon(75887)   (Show Source):
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